GCF of 4059/588, 7164/9072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4059/588, 7164/9072 i.e 9/63504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4059/588, 7164/9072.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4059/588,7164/9072?
Given fractions are 4059/588,7164/9072
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4059/588,7164/9072, numerators are 4059,7164
Denominators are 588,9072
The GCF of 4059,7164 is 9 .
LCM of 588,9072 is 63504.
The greatest common factor of 4059/588,7164/9072 = [GCF of 4059,7164]/[LCM of 588,9072]= 9/63504
Therefore, the GCF of 4059/588,7164/9072 is 9/63504.
To find the highest common factor of 4059,7164, we have to find the factors of both numbers and list the highest common factor.
The factors of 4059 are 1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059
The factors of 7164 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 7164
The HCF of 4059,7164 is 9.
Lets's calculate GCF of 4059,7164
| 3 | 4059, 7164 |
| 3 | 1353, 2388 |
| 451, 796 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4059,7164 By Matching Biggest Common Factor Method
Now, list down the factors of 4059
:1,3,9,11,33,41,99,123,369,451,1353,4059
Now, list down the factors of 7164
:1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164
Greatest Common Factor
We found the factors 4059,7164 . The biggest common factor number is the GCF number.
So the greatest common factor 4059,7164 is 9.
Lets's calculate LCM of 588,9072
| 2 | 588, 9072 |
| 2 | 294, 4536 |
| 3 | 147, 2268 |
| 7 | 49, 756 |
| 7, 108 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 7 x 108 = 63504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/63504
Therefore, the GCF of Fractions 4059/588,7164/9072 is 9/63504
Least Common Multiple of 588,9072 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 588,9072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,9072) = 84
common factors(in case of two or more numbers have common factors) = 1
GCF(588,9072) x common factors =84 x 1 = 84
LCM(588,9072) = ( 588 × 9072 ) / 84
LCM(588,9072) = 5334336 / 84
LCM(588,9072) = 63504
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FAQs on GCF of Fractions of 4059/588, 7164/9072
1. What is the HCF of 4059,7164?
The HCF of 4059,7164 is 9
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4059/588, 7164/9072?
Answer: GCF of Numerators as per given numbers 4059/588, 7164/9072 is
GCF of Numerators i.e. for 4059,7164 is 9
LCM of denominators i.e. for 588,9072 is 63504.
Thus, GCF of Fractions is 9/63504.Finally, GCF of Fractions for 4059/588, 7164/9072 is 9/63504.